Vertex algebras associated with elliptic affine Lie algebras
Haisheng Li, Jiancai Sun

TL;DR
This paper explores the connection between elliptic affine Lie algebras and vertex $ ext{C}((z))$-algebras, constructing related Lie algebra families and establishing a framework for their modules.
Contribution
It introduces a novel association between elliptic affine Lie algebras and vertex $ ext{C}((z))$-algebras, expanding the understanding of their structure and representations.
Findings
Constructed two families of Lie algebras related to elliptic affine Lie algebras
Established a category of modules for these vertex algebras
Provided a new framework linking elliptic affine Lie algebras with vertex algebra theory
Abstract
We associate elliptic affine Lie algebras with what are called vertex -algebras and their modules in a certain category. In the course, we construct two families of Lie algebras closely related to elliptic affine Lie algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
